SOLUTION: According to a rating survey, 58% of the households in a certain city tune in to the local evening TV news. If ten households are visited at random, what is the probability that th

Algebra ->  Probability-and-statistics -> SOLUTION: According to a rating survey, 58% of the households in a certain city tune in to the local evening TV news. If ten households are visited at random, what is the probability that th      Log On


   



Question 1008075: According to a rating survey, 58% of the households in a certain city tune in to the local evening TV news. If ten households are visited at random, what is the probability that three of them will have their television tuned to the local news? (Round answer to five decimal places.)
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
10C3(0.58)^3(0.42)^7. This looks at all possible combinations of 3 houses chosen from 10.
120*(0.58)^3(0.42)^7=0.05398
The expected value is nearly 6, so one would expect a low probability of finding only 3.